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Finding the Fourth Proportional to 201,959.70, 278,705.71 and 115,895.71

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Solution

The fourth proportional to 201,959.70, 278,705.71 and 115,895.71 is: 159,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,959.70 : 278,705.71 = 115,895.71 : x
  2. Step 2: Convert to fraction form
    201,959.70/278,705.71 = 115,895.71/x
  3. Step 3: Cross multiply
    201,959.70x = 278,705.71 × 115,895.71
  4. Step 4: Simplify right side
    201,959.70x = 32,300,796,141.50
  5. Step 5: Solve for x
    x = 32,300,796,141.50/201,959.70
  6. Step 6: Final answer
    x = 159,936.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.